Currently, orders allocated to waves are displayed on the normal SO screen, but with a status of IP (In Progress), however there is nothing stopping the user from jumping in and completing that order outside the wave.
With the new wave picks modes and improvements coming out, we will see an increase of users leveraging off this functionality. The ability to hide orders associated to waves would allow users to still use the normal picking mode and A) not have to scroll past all the waved orders and B) avoid the risk of potentially double picking an order.